Finding the Fourth Proportional to 1,051.61, 1,578.42 and 742.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,051.61 : 1,578.42 = 742.59 : x
2. Step 2: Convert to fraction form
   1,051.61/1,578.42 = 742.59/x
3. Step 3: Cross multiply
   1,051.61x = 1,578.42 × 742.59
4. Step 4: Simplify right side
   1,051.61x = 1,172,118.91
5. Step 5: Solve for x
   x = 1,172,118.91/1,051.61
6. Step 6: Final answer
   x = 1,114.60